Geometry and Physics

Denmark. Dr. Andersen received the D.Phil. degree (l992) in mathematics from the University of Oxford, England. Johan Dupont is Special Associate Professor of Mathematics at Aarhus University, Denmark. Dr. Dupont received the Ph.D. degree (l 972) in mathematics from Aarhus University, Denmark. Henrik Pedersen is a Lecturer in Mathematics at Odense University, Denmark. He received the D.Phil. degree (l 985) in mathematics from the University of Oxford, England. Andrew Swann is a Lecturer in Mathematics in the School of Mathematical Sciences at the University of Bath, England. His qualifications include the D.Phil. degree in mathematics from the University of Oxford, England.

Opening address: geometry and physics - where we going? Summer School notes: Floer homology, A-infinity categories and topological field theory; quantum field theory, equivalent cohomology, symplectic geometry, and moduli spaces of vector bundles on Riemann surfaces; notes on Seiberg-Witten invariants; an introduction to the topology of the moduli space of stable bundles on a Riemann surface; the fundamental theorem of Vassiliev invariants. Conference and workshop papers: configuration spaces and imbedding problems; topology of the space of SU(2)-monopoles in R3; recent progress on Kahler-Einstein metrics; the ODE system arising from cohomogeneity One Einstein metrics; Einstein metrics on complex surfaces; BPS states as symplectic invariants from string theory; determinants line bundles revisited; on representations of spin mapping class groups arising in spin TQFT; the symplectic S-Cobodism conjecture - a summary; Hamiltonian Torus action; a new proof of the convexity theorem for the poisson-lie moment map; symplectic 4-manifolds with b2+=1; compact manifolds with exceptional holonomy; fusion product of positive level representations and lie algebra homology; affine connections on involutive G-structures; observations on the topology of symmetric spaces; hyperkahler metrics on cotangent bundles of Hermitian symmetric spaces; decomposable self-dual manifolds; the SU infinity - Toda filed equation and special four-dimensional metrics; the structure of quaternionic Kahler quotients; overview and warmup example for perturbation theory with instantons; a note on free composition of subfactors. (Part contents).